Values of gcd(Fibonacci(n), Fibonacci(n+1)+1) sorted with no repeats.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =13a(6) =18a(7) =34a(8) =47a(9) =89a(10) =123a(11) =233a(12) =322a(13) =610a(14) =843a(15) =1597a(16) =2207a(17) =4181a(18) =5778a(19) =10946a(20) =15127a(21) =28657a(22) =39603a(23) =75025a(24) =103682a(25) =196418a(26) =271443a(27) =514229a(28) =710647a(29) =1346269